{"id":"https://openalex.org/W2954226434","doi":"https://doi.org/10.1142/s1793830919500435","title":"Spanning k-tree with specified vertices","display_name":"Spanning k-tree with specified vertices","publication_year":2019,"publication_date":"2019-06-28","ids":{"openalex":"https://openalex.org/W2954226434","doi":"https://doi.org/10.1142/s1793830919500435","mag":"2954226434"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500435","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500435","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103132169","display_name":"Feifei Song","orcid":"https://orcid.org/0000-0001-7754-4039"},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Feifei Song","raw_affiliation_strings":["Department of Information &amp; Computational Science, He\u2019nan Agricultural University, Zhengzhou 450002, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Information &amp; Computational Science, He\u2019nan Agricultural University, Zhengzhou 450002, P. R. China","institution_ids":["https://openalex.org/I4750791"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052911907","display_name":"Jianjie Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I4750791","display_name":"Henan Agricultural University","ror":"https://ror.org/04eq83d71","country_code":"CN","type":"education","lineage":["https://openalex.org/I4750791"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianjie Zhou","raw_affiliation_strings":["Department of Information &amp; Computational Science, He\u2019nan Agricultural University, Zhengzhou 450002, P. R. China"],"affiliations":[{"raw_affiliation_string":"Department of Information &amp; Computational Science, He\u2019nan Agricultural University, Zhengzhou 450002, P. R. China","institution_ids":["https://openalex.org/I4750791"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103132169"],"corresponding_institution_ids":["https://openalex.org/I4750791"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09655199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"04","first_page":"1950043","last_page":"1950043"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.72556471824646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5931023359298706},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.46679243445396423},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.43734633922576904},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3357846140861511},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18659928441047668}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.72556471824646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5931023359298706},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.46679243445396423},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.43734633922576904},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3357846140861511},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18659928441047668},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830919500435","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500435","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5585675778","display_name":null,"funder_award_id":"11771172","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2000467025","https://openalex.org/W2026543816","https://openalex.org/W2031299486","https://openalex.org/W2069905179","https://openalex.org/W2075810525","https://openalex.org/W2078780445"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2007980826","https://openalex.org/W2099195351","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"A":[0],"[Formula:":[1,12,18,22,26,30,42,46,52,56,62,77,81,85,103,106,110,116,119,123,131,135,139,144,148,154,160,163,169,176,185,200],"see":[2,13,19,23,27,31,43,47,53,57,63,78,82,86,104,107,111,117,120,124,132,136,140,145,149,155,161,164,170,177,186,201],"text]-tree":[3,171,202],"is":[4,65,100],"a":[5,16,37,50,167,199,207],"tree":[6],"with":[7,25,115,224],"maximum":[8,38,70],"degree":[9,182],"at":[10,183],"most":[11,184],"text].":[14,48,87,125,150,187],"For":[15,49,126],"graph":[17,51],"text]":[20,24,32,44,54,64,79,83,108,112,121,133,137,146,156,165,178],"and":[21,45,55,80,96,109,122,134,147,193,214,217],"text],":[28,58,105,118,141,162],"let":[29],"be":[33,68,113],"the":[34,59,69,93,98],"cardinality":[35],"of":[36,72,138,159,175],"independent":[39],"set":[40],"containing":[41,203],"local":[60],"connectivity":[61],"defined":[66],"to":[67],"number":[71],"internally":[73],"disjoint":[74],"paths":[75],"connecting":[76],"in":[84,197,206,221],"In":[88],"this":[89],"paper,":[90],"we":[91,142],"prove":[92],"following":[94],"theorem":[95,189],"show":[97],"condition":[99],"sharp.":[101],"Let":[102],"integers":[114],"any":[127,153],"two":[128],"nonadjacent":[129],"vertices":[130,158,180],"have":[143],"Then":[151],"for":[152],"distinct":[157],"has":[166,181],"spanning":[168],"such":[172],"that":[173],"each":[174],"specified":[179,204],"This":[188],"implies":[190],"H.":[191,194],"Matsuda":[192],"Matsumura\u2019s":[195],"result":[196,220],"[on":[198],"cleares":[205],"graph,":[208],"Graphs":[209],"Combin.":[210],"22":[211],"(2006)":[212],"371\u2013381]":[213],"V.":[215],"Neumann-Lara":[216],"E.":[218],"Rivera-Campo\u2019s":[219],"[Spanning":[222],"trees":[223],"bounded":[225],"degrees,":[226],"Combinatorica":[227],"11":[228],"(1991)":[229],"55\u201361].":[230]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
